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arXiv · 2204.08635

Herz-slice spaces and applications

Yuan Lu·Jiang Zhou·Songbai Wang
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Abstract

Let $\alpha\in\mathbb R^n$, $t\in(0,\infty)$, $p\in(0,\infty]$, $r\in(1,\infty)$ and $q\in[1,\infty]$. We introduce the homogeneous Herz-slice space $(\dot KE_{q,r}^{\alpha,p})_t(\mathbb R^n)$, the non-homogeneous Herz-slice space $(KE_{q,r}^{\alpha,p})_t(\mathbb R^n)$ and show some properties of them. As an application, the bounds for the Hardy--Littlewood maximal operator on these spaces is considered.

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Yuan Lu, Jiang Zhou, Songbai Wang. 2022-04-19. Herz-slice spaces and applications. https://arxiv.org/abs/2204.08635

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